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  • Autor
    • Ledger, P.D.
    • Zaglmayr, Sabine
  • Titelhp-Finite Element Simulation of Three-Dimensional Eddy Current Problems on Multiply Connected Domains
  • Volltext
  • DOI10.1016/j.cma.2010.07.010
  • Erschienen inComputer Methods in Applied Mechanics and Engineering
  • Band199
  • Erscheinungsjahr2010
  • Heft49
  • Seiten3386-3401
  • LicenceCC-BY
  • Projekt Identifikator
    • info:eu-repo/grantAgreement/Royal Society Travel////
    • info:eu-repo/grantAgreement/FWF/SFB/F32/Mathematical Optimization and Applications in Biomedical Sciences/
  • ZugriffsrechteCC-BY
  • Download Statistik20
  • Peer ReviewNein
  • AbstractThis work considers the accurate and efficient finite element simulation of three-dimensional eddy current problems. We review the application of H and A based formulations for multiply connected domains for the cases where the conductor has a handle and/or a hole. We focus on an hierarchical hp-finite element discretization of the A based formulation that is gauged by regularization. Based on an explicit kernel splitting of the underlying hp-finite element basis, we present a novel preconditioning technique for eddy current problems. We demonstrate its validity on multiply connected domains and include a series of numerical examples to show the effectiveness of the proposed approach.